The truth table represents the Boolean function

Looking at the truth table:

• When $(X, Y) = (0, 0)$, $f(X, Y) = 0$

• When $(X, Y) = (0, 1)$, $f(X, Y) = 0$

• When $(X, Y) = (1, 0)$, $f(X, Y) = 1$

• When $(X, Y) = (1, 1)$, $f(X, Y) = 1$

Notice that the output $f(X, Y)$ is always equal to the value of $X$, regardless of $Y$.

Therefore, the Boolean function is $f(X, Y) = X$, which corresponds to option (A).